Problem preview

A-REI.6 Warmup M1-012-A10-V04

Solve systems of two linear equations exactly and approximately using algebraic and graphical methods.

Interpret a system solution in context

Problem

Two travel models intersect at \((2.5,~30)\), where \(x\) is time in hours and \(y\) is distance in miles. Interpret the input, shared output, equality, and viability of the intersection.

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At 30 hours, both travel models give 2.5 miles. The models are equal, and this intersection is viable.

At 2.5 hours, both travel models give 30 miles. The models are equal, and this intersection is viable.

At 2.5 hours, both travel models give 30 miles. The models are equal, but this intersection is not viable.

At 2.5 hours, the models give 2.5 and 30 miles, so they are different; this result is viable.

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Curriculum context

Course: Math I
Standard: A-REI.6
Category: Algebra
Domain: Reasoning with Equations and Inequalities
Objective: Solve systems of two linear equations exactly and approximately using algebraic and graphical methods.
Problem type: Interpret a system solution in context